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Finding the Fourth Proportional to 3,616.40, 5,424.60 and 1,307.60

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Solution

The fourth proportional to 3,616.40, 5,424.60 and 1,307.60 is: 1,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.40 : 5,424.60 = 1,307.60 : x
  2. Step 2: Convert to fraction form
    3,616.40/5,424.60 = 1,307.60/x
  3. Step 3: Cross multiply
    3,616.40x = 5,424.60 × 1,307.60
  4. Step 4: Simplify right side
    3,616.40x = 7,093,206.96
  5. Step 5: Solve for x
    x = 7,093,206.96/3,616.40
  6. Step 6: Final answer
    x = 1,961.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.